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Finding the Third Proportional to 565,137 and 848,970

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Solution

The third proportional to 565,137 and 848,970 is: 1,275,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,137 : 848,970 = 848,970 : x
  2. Step 2: Convert to fraction form
    565,137/848,970 = 848,970/x
  3. Step 3: Cross multiply
    565,137x = 848,970 × 848,970
  4. Step 4: Simplify right side
    565,137x = 720,750,060,900
  5. Step 5: Solve for x
    x = 720,750,060,900/565,137
  6. Step 6: Final answer
    x = 1,275,354.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.